हिंदी

Determine whether or not the definition of given below gives a binary operation. In the event that ∗ is not a binary operation, give justification for this. On Z^+, define ∗ by a ∗ b = a – b

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प्रश्न

Determine whether or not the definition of given below gives a binary operation. In the event that ∗ is not a binary operation, give justification for this.

On Z+, define ∗ by a ∗ b = a – b

औचित्य
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उत्तर

On Z+, * is defined by a * b = a – b.

It is not a binary operation as the image of (1, 2) under * is 1 * 2

= 1 – 2 
= –1 ∉ Z+

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अध्याय 1: Relations and Functions - EXERCISE 1.4 [पृष्ठ २४]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 1 Relations and Functions
EXERCISE 1.4 | Q 1. (i) | पृष्ठ २४
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